Answer
LCD = $(x - 4)(x - 7)$
$\frac{(x + 1)(x - 7)}{(x - 4)(x - 7)}$
$\frac{(x - 3)(x - 4)}{(x - 4)(x - 7)}$
Work Step by Step
The two fractions have already been factored completely.
Next, we want to take the highest power of each factor in the denominators:
LCD = $(x - 4)(x - 7)$
Now that we have the least common denominator, we multiply the numerators of each fraction with the factors it is missing in the denominator:
$\frac{(x + 1)(x - 7)}{(x - 4)(x - 7)}$
$\frac{(x - 3)(x - 4)}{(x - 4)(x - 7)}$
